Average Error: 0.2 → 0.2
Time: 3.2s
Precision: 64
\[\left(x \cdot y\right) \cdot y\]
↓
\[\left(x \cdot y\right) \cdot y\]
\left(x \cdot y\right) \cdot y
↓
\left(x \cdot y\right) \cdot y
double f(double x, double y) {
        double r294445 = x;
        double r294446 = y;
        double r294447 = r294445 * r294446;
        double r294448 = r294447 * r294446;
        return r294448;
}
↓
double f(double x, double y) {
        double r294449 = x;
        double r294450 = y;
        double r294451 = r294449 * r294450;
        double r294452 = r294451 * r294450;
        return r294452;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(x \cdot y\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2020020 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))